A plane is flying at a speed of 200 miles per hour. The pilot plans on flying at this speed for the next 225 miles, plus or minus

50 miles. Find the minimum and maximum number of hours the plane will travel at that speed.

At least h and at most

h


Pls help I need to pass this quiz

Respuesta :

The maximum and minimum of hours for which plane will travel is 1.375 hours and 0.875 hour respectively.

The speed of plane : 200 miles per hour

As per the variation, the distance covered by plane is calculated as follows -

Maximum distance covered = 225 + 50

Maximum distance covered = 275 miles

Minimum distance covered = 225 - 50

Minimum distance covered = 175 miles

As per the known fact, speed, distance and time are related as follows -

Speed = distance ÷ time

Rearranging the formula for time -

Time = distance ÷ speed

Maximum time will be taken by plane in covering maximum distance. Similarly, plane will take minimum time when covering minimum distance as calculated above.

So, maximum time = 275 ÷ 200

Maximum time = 1.375 hours

Minimum time = 175 ÷ 200

Minimum time = 0.875 hours

Hence, plane will travel for maximum 1.375 hours and minimum 0.875 hours at mentioned speed.

Learn more about time calculation -

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